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42553422435524 = 227111319559354099
BaseRepresentation
bin10011010110011101111011…
…01000001101010011000100
312120200001211011201111002012
421223032331220031103010
521034143402120414044
6230300434500433352
711651245322453150
oct1153167550152304
9176601734644065
1042553422435524
1112616894665910
12493317b0a8858
131a98a02a992a0
14a7184d24a060
154dbda38ac59e
hex26b3bda0d4c4

42553422435524 has 96 divisors (see below), whose sum is σ = 105248067456000. Its totient is φ = 14498458220160.

The previous prime is 42553422435523. The next prime is 42553422435539.

42553422435524 is nontrivially palindromic in base 10.

42553422435524 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (42553422435523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 279600974 + ... + 279753125.

It is an arithmetic number, because the mean of its divisors is an integer number (1096334036000).

Almost surely, 242553422435524 is an apocalyptic number.

42553422435524 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42553422435524 is an abundant number, since it is smaller than the sum of its proper divisors (62694645020476).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42553422435524 is a wasteful number, since it uses less digits than its factorization.

42553422435524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559354153 (or 559354151 counting only the distinct ones).

The product of its digits is 23040000, while the sum is 50.

The spelling of 42553422435524 in words is "forty-two trillion, five hundred fifty-three billion, four hundred twenty-two million, four hundred thirty-five thousand, five hundred twenty-four".

Divisors: 1 2 4 7 11 13 14 19 22 26 28 38 44 52 76 77 91 133 143 154 182 209 247 266 286 308 364 418 494 532 572 836 988 1001 1463 1729 2002 2717 2926 3458 4004 5434 5852 6916 10868 19019 38038 76076 559354099 1118708198 2237416396 3915478693 6152895089 7271603287 7830957386 10627727881 12305790178 14543206574 15661914772 21255455762 24611580356 29086413148 42510911524 43070265623 50901223009 74394095167 79987636157 86140531246 101802446018 116905006691 138160462453 148788190334 159975272314 172281062492 203604892036 233810013382 276320924906 297576380668 319950544628 467620026764 552641849812 559913453099 818335046837 967123237171 1119826906198 1519765086983 1636670093674 1934246474342 2239653812396 3039530173966 3273340187348 3868492948684 6079060347932 10638355608881 21276711217762 42553422435524